Demonstrators for concrete containers that can be used for two purposes, the storage of primary packages of intermediate-level long-lived waste (ILW-LL) and their disposal, have been jointly studied by CEA and ANDRA. The containers are made of a special type of concrete, which is different from the type proposed for the structure of the storage and disposal facilities. More results are still needed for cemented packages and further research has to be carried out, particularly to consider the implications of cracking.